There is no specific name for such lines.
They could be called "mutual bisectors" but, as far as I know, I have just now created that term.
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A shape that contains at least two distinct intersecting lines is a figure called a cross. A cross consists of two lines that intersect perpendicularly at their midpoint.
Six - three from diagonal to diagonal, three from midpoint of a side to midpoint to a side.
Not if they are straight lines.
If the two lines have a common ponts.
Two or more lines meeting at a common point are called intersecting lines.